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If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1...

If `sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1) ((2x)/(1-x^(2))),` then : x =

A

`(a-b)/(1-ab)`

B

`(1+ab)/(a-b)`

C

`(ab-1)/(a+b)`

D

`(a-b)/(1+ab)`

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (3)(MULTIPLE CHOICE QUESTIONS)
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  6. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is

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  12. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

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  13. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

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  14. The value of tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3) is

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